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Nonlinear structural subsystem of GeoFEM for fault zone analysis

Identifieur interne : 00C203 ( Main/Exploration ); précédent : 00C202; suivant : 00C204

Nonlinear structural subsystem of GeoFEM for fault zone analysis

Auteurs : Mikio Iizuka [Japon] ; Hiroshi Okuda [Japon] ; Genki Yagawa [Japon]

Source :

RBID : Pascal:01-0110005

Descripteurs français

English descriptors

Abstract

GeoFEM (IIZUKA et al., 1999) is a parallel finite element analysis system intended for multi-physics, multi-scale problems of solid earth field phenomena. Very large linear elastic problems have already been resolved by parallel computation with GeoFEM. The next stage is to examine large-scale nonlinear problems using GeoFEM. The analysis of large-scale contact problems for fault zones is particularly important in the development of models that simulate the occurrence and cycle of earthquakes. This paper proposes a parallel FEM using an iterative solver with the augmented Lagrange method for solving large-scale contact problems. Direct solvers are presently applied to contact problem analysis because the matrix for such problems is ill-conditioned. However, direct solvers are not suitable for large-scale matrices. The augmented Lagrange method can improve the matrix conditions. The present study evaluates a parallel FEM using an iterative solver with the augmented Lagrange method. Analysis of a contact problem with the augmented Lagrange method revealed that an optimal penalty parameter exists and that large-scale parallel contact analysis using the iterative solver with localized preconditioning is promising.


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Le document en format XML

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<term>Japan</term>
<term>Pacific Plate</term>
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<term>computer programs</term>
<term>earthquakes</term>
<term>fault displacements</term>
<term>fault zones</term>
<term>finite element analysis</term>
<term>mathematical models</term>
<term>plate boundaries</term>
<term>subduction zones</term>
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<term>Déplacement faille</term>
<term>Séisme</term>
<term>Zone faillée</term>
<term>Méthode élément fini</term>
<term>Programme ordinateur</term>
<term>Modèle mathématique</term>
<term>Zone subduction</term>
<term>Plaque Pacifique</term>
<term>Plaque Philippines</term>
<term>Limite plaque</term>
<term>Japon</term>
<term>GeoFEM</term>
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<div type="abstract" xml:lang="en">GeoFEM (IIZUKA et al., 1999) is a parallel finite element analysis system intended for multi-physics, multi-scale problems of solid earth field phenomena. Very large linear elastic problems have already been resolved by parallel computation with GeoFEM. The next stage is to examine large-scale nonlinear problems using GeoFEM. The analysis of large-scale contact problems for fault zones is particularly important in the development of models that simulate the occurrence and cycle of earthquakes. This paper proposes a parallel FEM using an iterative solver with the augmented Lagrange method for solving large-scale contact problems. Direct solvers are presently applied to contact problem analysis because the matrix for such problems is ill-conditioned. However, direct solvers are not suitable for large-scale matrices. The augmented Lagrange method can improve the matrix conditions. The present study evaluates a parallel FEM using an iterative solver with the augmented Lagrange method. Analysis of a contact problem with the augmented Lagrange method revealed that an optimal penalty parameter exists and that large-scale parallel contact analysis using the iterative solver with localized preconditioning is promising.</div>
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